Question

Convert 0.35 into $\frac{p}{q}$ form, where p and q are co-prime integers an $q\ne 0.$

• A.
  $\frac{35}{99}$
• B.
  $\frac{25}{99}$
• C.
  $\frac{32}{99}$
• D.
  None of These

Answer 1

The correct option is A

$\frac{35}{99}$
Let $x=\overline{35}\Rightarrow x=\mathrm{0.3535...}\left(1\right)\text{Multiply both sides of (1) by 100,}100x=\mathrm{35.3535...}\left(2\right)\text{Subtracting (1) from (2), we get.}99x=35\Rightarrow x=\frac{35}{99}\therefore x=0.\overline{35}=\frac{35}{99}$

So, option a is correct.